Geometric Cognition

The Mathematical Structure of Human and Artificial Thought

Andrew H. Bond
Senior Member, IEEE · Department of Computer Engineering · San Jose State University

Spring 2026 · Book 6 of the Geometric Series

Part I: The Problem

  1. Chapter 1: The IQ Trap
  2. Chapter 2: Kahneman's Geometric Intuition

Part II: The Framework

  1. Chapter 3: The Cognitive Manifold
  2. Chapter 4: Attention as Metric
  3. Chapter 5: Working Memory as Tangent Space
  4. Chapter 6: Executive Functions as Search Control

Part III: The Five Cognitive Dimensions

  1. Chapter 7: Social Cognition as Navigation in Judgment Space
  2. Chapter 8: Learning as Belief Trajectory Revision
  3. Chapter 9: Metacognition as Distance Estimation
  4. Chapter 10: Attention as Manifold Filtering
  5. Chapter 11: Executive Control as Geodesic Governance

Part IV: Human Cognition

  1. Chapter 12: The Dual Process Theory, Geometrized
  2. Chapter 13: Cognitive Development as Manifold Growth
  3. Chapter 14: Cognitive Pathology as Geometric Defect

Part V: Artificial Cognition

  1. Chapter 15: LLM Cognition Through the Geometric Lens
  2. Chapter 16: The Five Geometric Signatures

Part VI: Horizons

  1. Chapter 17: Open Questions